Special Post: How to prepare loan repayment/amortization schedule
Posted by Prashant Shah on May 17, 2011
There have been so many queries all around on the preparation of loan amortization/repayment schedule. So here I am producing the systematic understanding on the preparation of the same.
The rate of interest which is quoted on the loan is always a nominal rate which is the uncompounded rate or unadjusted rate hence, banks always earns better rate in effective terms than what they indicate to the borrower.
Assume a loan of Rs.1,00,000 at a rate of 12%p.a. and the tenure is 10 years.
Calculation of EMI:
PV=-100000
N=10*12=120
I/Y=12/12=1
PMT(end mode) =1435
Lets prepare the pro-forma of the same.
Month |
Opening Balance |
Interest |
EMI |
Capital |
1 | 100000 | =100000*0.01=1000 | 1435 | =1435-1000=435 |
2 | =100000-435=99565 | =99565*0.01=995.65 | 1435 | =1435-995.65=439.35 |
The actual repayment schedule when prepared on excel looks like this:
Month |
Opening |
Interest |
EMI |
Capital |
1 |
100000 |
1000 |
1435 |
435 |
2 |
99565 |
996 |
1435 |
439 |
3 |
99126 |
991 |
1435 |
444 |
4 |
98682 |
987 |
1435 |
448 |
5 |
98234 |
982 |
1435 |
453 |
6 |
97781 |
978 |
1435 |
457 |
7 |
97324 |
973 |
1435 |
462 |
8 |
96862 |
969 |
1435 |
466 |
9 |
96396 |
964 |
1435 |
471 |
10 |
95925 |
959 |
1435 |
476 |
11 |
95449 |
954 |
1435 |
481 |
12 |
94968 |
950 |
1435 |
485 |
Now you can observe the basics of equated payment mechanism which states as you go ahead in the repayment schedule the capital component in the installment increases and interest component decreases.
Download the same solution on excel sheet:repayment-schedule
This sheet allows you to insert the fields.
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